Highest Common Factor of 744, 263, 655, 841 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 744, 263, 655, 841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 744, 263, 655, 841 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 744, 263, 655, 841 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 744, 263, 655, 841 is 1.
HCF(744, 263, 655, 841) = 1
HCF of 744, 263, 655, 841 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 744, 263, 655, 841 is 1.
Highest Common Factor of 744,263,655,841 is 1
Step 1: Since 744 > 263, we apply the division lemma to 744 and 263, to get
744 = 263 x 2 + 218
Step 2: Since the reminder 263 ≠ 0, we apply division lemma to 218 and 263, to get
263 = 218 x 1 + 45
Step 3: We consider the new divisor 218 and the new remainder 45, and apply the division lemma to get
218 = 45 x 4 + 38
We consider the new divisor 45 and the new remainder 38,and apply the division lemma to get
45 = 38 x 1 + 7
We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get
38 = 7 x 5 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 744 and 263 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(45,38) = HCF(218,45) = HCF(263,218) = HCF(744,263) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 655 > 1, we apply the division lemma to 655 and 1, to get
655 = 1 x 655 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 655 is 1
Notice that 1 = HCF(655,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 841 > 1, we apply the division lemma to 841 and 1, to get
841 = 1 x 841 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 841 is 1
Notice that 1 = HCF(841,1) .
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Frequently Asked Questions on HCF of 744, 263, 655, 841 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 744, 263, 655, 841?
Answer: HCF of 744, 263, 655, 841 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 744, 263, 655, 841 using Euclid's Algorithm?
Answer: For arbitrary numbers 744, 263, 655, 841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.